233543 divided by 42 
The aim is to understand the frequency of 42 in 233543.

Step 1:
42 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 42

Going ahead to step 2:
42 goes into 23 0 times with a remainder of 23.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 23 to get 23.
Bring next digit (3) of the dividend behind the 23 and repeat the process: 233 / 42

Moving on to step 3:
42 goes into 233 5 times with a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 210 from 233 and we're left with 23.
Fetch the next digit (5) from the dividend, attach it to 23 and continue: 235 / 42

Advancing to step 4:
If we divide 235 by 42, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtracting 210 from 235 leaves us with 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 42

Going ahead to step 5:
When dividing 254 by 42, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 556.0
Subtract 252 from 254 to get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 42

Advancing to step 6:
The number 42 fits into 23 0 times, leaving a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 5560.0
The remainder is 23 after subtracting 0 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
The number 42 fits into 230 5 times, leaving a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 5560.5
Subtract 210 from 230 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 5560.54
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
If we divide 320 by 42, we get 7 and a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 5560.547
If we subtract 294 from 320, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
The number 42 fits into 260 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 5560.5476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
When dividing 80 by 42, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 5560.54761
Subtract 42 from 80 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 12:
42 goes into 380 9 times with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 5560.547619
Deduct 378 from 380 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
When dividing 20 by 42, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 5560.547619
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 14:
If we divide 200 by 42, we get 4 and a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 5560.54761904
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 5560.54761904 and a remainder of 3.2e-08.